Question

A group of friends wants to go to the amusement park. They have no more than $100 to spend on parking and admission. Parking is $8, and tickets cost $23 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.

Answer 1

4 people can go to the amusement park

Explanation:

100-8= 92

92-23x= 4

Answer 2

8 + 23x ≤ 100

x ≤ 4

Explanation:

Let x = number of people in attendance.

There is a constant fee of $8, and it costs $23 per person. The maximum they can spend is $100. Therefore, the inequality can be formed as:

8 + 23x ≤ 100

Solving:

Subtract 8 from both sides:

23x ≤ 92

Divide both sides by 23:

x ≤ 4

Therefore, 4 friends or fewer can attend without going over budget.